A new approach to the fuzzification of groups
Authors:
- 27 June 2019
- journal article
- research article
- Published by SAGE Publications in Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
- Vol. 37 (5) , 6429-6442
Abstract
In the present paper we present a new approach to the fuzzification of groups, which is defined by the hazy associative law (a new fuzzy associative law) on hazy binary operations. It is also called an M -hazy group. The basic idea is to generalize the binary operation of classical algebras to fuzzy binary operation. Some properties of M -hazy groups and M -hazy subgroups are discussed. Besides, we also study the homomorphisms between two M -hazy groups.Keywords
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